Consider (a) Show that the series converges. (b) Use the inequality in (4) from Exercise 83 of

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Consider00  n=1 n (n + 1)

(a) Show that the series converges.
(b) Use the inequality in (4) from Exercise 83 of Section 11.3 with M = 99 to approximate the sum of the series. What is the maximum size of the error?


Data From Exercise 83 of Section 11.3

Assume  an converges to S. Arguing as in Exercise 81, show that n=1 Conclude that M n=1 + an + roo M+1 s  an+

Data From Exercise 81

Show that f f(x) dx  [ansar + foro. s * f(x) dx


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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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